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Finding the Third Proportional to 2,144,640 and 4,465,680

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Solution

The third proportional to 2,144,640 and 4,465,680 is: 9,298,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,640 : 4,465,680 = 4,465,680 : x
  2. Step 2: Convert to fraction form
    2,144,640/4,465,680 = 4,465,680/x
  3. Step 3: Cross multiply
    2,144,640x = 4,465,680 × 4,465,680
  4. Step 4: Simplify right side
    2,144,640x = 19,942,297,862,400
  5. Step 5: Solve for x
    x = 19,942,297,862,400/2,144,640
  6. Step 6: Final answer
    x = 9,298,669.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.